Pith Number

pith:CCOTK2WZ

pith:2016:CCOTK2WZVUZM7GTS63IFMCIM4X

not attested not anchored not stored refs pending

Proof of bijection for combinatorial number system

Abu Bakar Siddique, Muhammad Tahir, Saadia Farid

arxiv:1601.05794 v1 · 2016-01-21 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCOTK2WZVUZM7GTS63IFMCIM4X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:22:11.056938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109d356ad9ad32cf9a72f6d056090ce5ca1e7195d6bc3655fddd9279a29206bf

Aliases

arxiv: 1601.05794 · arxiv_version: 1601.05794v1 · doi: 10.48550/arxiv.1601.05794 · pith_short_12: CCOTK2WZVUZM · pith_short_16: CCOTK2WZVUZM7GTS · pith_short_8: CCOTK2WZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CCOTK2WZVUZM7GTS63IFMCIM4X \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 109d356ad9ad32cf9a72f6d056090ce5ca1e7195d6bc3655fddd9279a29206bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c86c86b55737c6c7982e3796a804a0fcc6ffab77be9f1cbab1fef25405fd1c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-21T07:07:21Z",
    "title_canon_sha256": "f2332646d3d1da61d182528a486b641b16920227a2f54cfb4e4b1355ca1153ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05794",
    "kind": "arxiv",
    "version": 1
  }
}